Question

Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 8 + 48?
4 (2 + 6)
4 (8 + 6)
8 (1 + 6)

Answer 1

To use the GCF (Greatest Common Factor) and the distributive property to find an expression equivalent to \(8 + 48\), we first need to determine the GCF of the two numbers.

- The GCF of \(8\) and \(48\) is \(8\).

Now, we can factor \(8\) out of the expression:

\[
8 + 48 = 8 + 8 \times 6 = 8 \times (1 + 6)
\]

This means that using the GCF, the expression can be rewritten as:

\[
8(1 + 6)
\]

None of the provided options directly match \(8(1 + 6)\). However, the option \(8 (1 + 6)\) is indeed the correct way to express \(8 + 48\) using the GCF and distributive property.

Therefore, the correct answer is:

**8 (1 + 6)**.